The key features of the graph are:
- Vertex (-2, -1)
- Axis of symmetry x = -2
- y-intercept (0, 3)
- Minimum
- Domain, -∞ < x < ∞
- Range y > = -1
How to determine the key features?
The graph has a minimum value at (-2, -1)
This represents the vertex
The x coordinate of the vertex is the axis of symmetry.
So, we have
x = -2
The graph crosses the y-axis at (0, 3)
This represents the y-intercept
The graph opens up.
This means that the vertex is minimum.
The domain is the set of all real number, because the graph extends in both directions on the x-axis without end
While the range is y >= -1, because it has a minimum at this point
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